Question

1. communication a panel of hockey analysts gives 8 to 1 odds against the montréal canadiens winning the stanley cup and 17 to 2 odds against the vancouver canucks winning the cup. based on this information, which team is more likely to win the stanley cup? explain your reasoning.

Explanation:

Step1: Convert odds to probabilities for Montreal Canadiens

Odds of 8 to 1 against means the probability of winning $P_{M}$ is calculated as $P_{M}=\frac{1}{8 + 1}=\frac{1}{9}\approx0.111$.

Step2: Convert odds to probabilities for Vancouver Canucks

Odds of 17 to 2 against means the probability of winning $P_{V}$ is calculated as $P_{V}=\frac{2}{17+ 2}=\frac{2}{19}\approx0.105$.

Step3: Compare probabilities

Since $0.111>0.105$, Montreal Canadiens have a higher probability of winning.

Answer:

The Montreal Canadiens are more likely to win the Stanley Cup because their probability of winning ($\frac{1}{9}\approx0.111$) is higher than that of the Vancouver Canucks ($\frac{2}{19}\approx0.105$).